Solve using the elimination method. 2x+10y=58; and -14+8y=140

Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions,state this

2x+10y=58; and -14x+8y=140
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There are common factors that can be removed: x+5y=29 (common factor is 2); -7x+4y=70 (common factor is also 2). Multiply the revised first equation by 7: 7x+35y=203 and add to the revised second equation: 39y=273 so y=273/39=7. Substitute y=7 in the revised first equation: x+35=29 so x=-6. Answer: x=-6 and y=7. Check the results by substituting these values in the original equations to make sure they're true: -12+70=58smiley and 84+56=140smiley.

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